Question

Express the interval in set-builder notation and graph the interval on a number line
(-6.2]

Answer 1

{
`x|-6<x\leq 2`}

The number line is attached.

Explanation:

By definition Set-builder notation is a mathematical shorthand used to provide specific details about a set.

In this case, you have the following interval:

`(-6,2]`

You can obsseve that the left hand contains a parentheses, which means that -6 it is not included, then:

`-6<`

The right hand contains a bracket, which means that 2 is included:

`\leq 2`

The inequality is:

`-6<x\leq 2`

Therefore, in Set-builder notation this is:

{
`x|-6<x\leq 2`}

Observe the number line attached. Since -6 is not included, you must use an unfilled circle. Since 2 is included, you must use a filled circle.